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theory, representation theory, algebraic geometry, and mathematical physics. The aim of this project is… Stacky abelianization of an algebraic group… Towards logarithmic representation theory of W-algebras… Algebraic Geometry, Representation Theory, Langlands Program… I grew up in Iran and moved to Canada for the end of high school. I did my undergraduate studies… -adic numbers, using Sekiguchi and Suwa's unification of Kummer and Artin-Schreier-Witt theories. Our…
I grew up in Iran and moved to Canada for the end of high school. I did my undergraduate studies at the University of Waterloo and PhD at the University of Chicago with Vladimir Drinfeld. Afterwards, I did postdocs at the University of British Columbia in Vancovuer and the Max Planck Instittue for M …
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The prime numbers are simple to define, yet try to study them in depth and they are notoriously… A conditional explicit result for the prime number theorem in short intervals… the sum of two primes. There are many related similiar results that one can prove armed with the tools of modern number theory.… analytic number theory: an enchanting area where one perplexingly uses calculus and analysis to study… square of a prime and a square-free number. This makes explicit a theorem of Erdős that every…
Adrian grew up in Perth and double majored in Pure Mathematics and Applied Mathematics at the University of Western Australia. Soonafter, he ventured to Canberra to undertake a PhD, focussing on analytic number theory: an enchanting area where one perplexingly uses calculus and analysis to study dis …
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Modelling, simulation and risk analysis in the Australian energy markets IP Agreement signed 8.8.2001… complex model, and construct “approximate” forecasting tools. The interplay of the mathematical theory results in fast and accurate forecasting tools.… On the number of designs with affine parameters… The Application of Random Graph Theory to Modelling the Thermodynamic and Physico-chemical Properties of Molten Silicates… Modelling and simulation problems for water/gas reservoir estimation Experimental design… by a long history of publishing on experimental design, block designs, latin squares and associated algebraic structures.… complexity and number of Latin trades that, must be constructed. In this paper we develop a theory…
Professor Diane Donovan received her PhD from The University of Queensland in 1987 and has been an integral member of the Discipline of Mathematics and assoicated Schools since that time.
She has two main research streams.
1) The application of polynomial chaos expansions for the modeling of physi …
Collaborative research with Australian energy companies developing techniques for production forecasting
Collaborative research with Plant geneticists studying environmental effects on plants in agriculture and nature.
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, but can be described and solved using diagram algebras and logarithmic conformal field theory… Fusion, crossing and monodromy in conformal field theory based on SL(2) current algebra with fractional level… Representation theory of infinite-dimensional Lie algebras… Representation theory of diagram algebras and logarithmic conformal field theory… representation theory of some of these diagram algebras and to apply the results to the corresponding integrable lattice loop models.… Conformal field theory… theories with SL(2) current algebra and with fractional level and spins, we discuss in some detail the…
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as combinatorics, number theory and representation theory. Additionally both conjectures are… Characters of graded parafermion conformal field theory… Towards logarithmic representation theory of W-algebras… highest weight modules of the affine Lie algebras Cn(1), A2n(2) and Dn+1(2). Through specialisation…
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I am interested in the foundational and applied aspects of mathematics in relation to cryptography.… Improving unlinkability of attribute-based authentication through game theory… and Physics as a lecturer in mathematical cryptography. From November 2022 she is Assistant Professor… authentication and must be studied using game theory. We specify several instances of the game where…
Veronika Kuchta received her Diploma degree in Mathematics at the Heidelberg University in Germany in 2010. She reseived her PhD in applied cryptography at the University of Surrey, United Kingdom in 2016. She worked as a postdoc at the Universite libre de Bruxelles in Belgium from 2016-2018. From 2 …
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to a number of fields, ranging from algebraic geometry and number theory, to complex analysis, group theory, and homotopy theory.… Curvature characterisations of notions in algebraic and complex-analytic geometry… ); in particular, for the Bismut, Minimal and Hermitian conformal connection. A monotonicity theorem is…
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fields of current activity and growth. The resulting unified theory will open the door to exciting… around the notion of quantum integrability, and the breaking of that integrability. The expert team… Exactly solvable quantum spin ladders associated with the orthogonal and symplectic Lie algebras… Metallic nanograins: superconducting correlations, Josephson tunneling and conformal field theory… quantum integrability, and the breaking of that integrability. The classic techniques of quantum… Dr Jon Links's research interests are in: Lie Algebras, Quantised Algebras, Knot Theory, Exactly… of the orthogonal and symplectic algebras o(2(n)), sp(2(n)) where n is the number of legs for the…
Dr Jon Links's research interests are in: Lie Algebras, Quantised Algebras, Knot Theory, Exactly Solvable Models, Algebraic Bethe Ansatz, Models of Correlated Electrons and Models of Bose-Einstein Condensates.
He received his PhD from the University of Queensland in 1993. His current research proje …
My current research aims to use the mathematical theory of quantum integrability to aid in the design of new quantum devices. Read about it some more at this blog on the Nature Research Device and Materials Engineering Community.
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exciting new developments in the theory of these algebraic structures and their application to physics… Algebraic Bethe ansatz for the anisotropic supersymmetric U model… Algebraic Structures in Mathematical Physics and Their Applications… representations. To demonstrate the theory, we look at the examples of the general linear Lie algebras and Lie superalgebras.…
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significance in their own right, and when considered together will help to lay a foundation for a more general theory of matching.… problems and perfect factorisations are being investigated. This includes collaborative work with… Applications of graph theory in DNA sequencing by hybridization… Parallel algorithms and computational techniques in combinatorial design theory… students who like group theory or graph theory will enjoy working on this and related problems.… Graph theory and design theory… Darryn Bryant's research interests are in combinatorics, specifically in graph theory and design… , based on the same vertex set, and determining the possible number of cycles which can be common to…
Darryn Bryant's research interests are in combinatorics, specifically in graph theory and design theory.
He received his PhD from The University of Queensland in 1993. His current research projects concern fundamental open problems on graph decompositions and a new design theory-based approach to s …